If product in question has reached state it resembles badly curdled Hollandaise sauce then no amount of agitation is going to help.
Otherwise, no, it's not necessary to agitate FS nor more than any other liquid cleaning or personal care product. Either something is a stable emulsion, or it's not....
Granted yes, some products to tend to separate (think peanut butter), but otherwise anytime something that does when it shouldn't indicates has or is going off.
Back when fabric softeners were largely emulsions of tallow or other fats/oils then can see perhaps need to shake bottle. Modern products have moved onto blends of surfactants with perhaps tallow or oil, but use far better emulsifiers, stabilizers and preservatives.